Simulation and interpretation of diffuse mode bifurcation of elastoplastic solids

作者: Kiyohiro Ikeda , Yuki Yamakawa , Seiichiro Tsutsumi

DOI: 10.1016/S0022-5096(03)00073-5

关键词: Finite strain theoryPlane stressGeometryFinite element methodMathematicsConstitutive equationStiffnessNumerical analysisBifurcationBoundary value problem

摘要: The diffuse mode bifurcation of elastoplastic solids at finite strain is investigated. multiplicative decomposition deformation gradient and the hyperelasto-plastic constitutive relationship are adapted to numerical analysis solids. First, analyses rectangular plane specimens subjected uniaxial compression conducted. onset bifurcations from a homogeneous state detected; moreover, post-bifurcation states for these modes traced arrive localization narrow band zones, which look like shear bands. occurrence bifurcation, followed by localization, advanced as possible mechanism create complex patterns, such These computational zones shown be in good agreement with associated experimental ones observed sand ensure validity this mechanism. Next, degradation horizontal sway stiffness specimen due pointed out cause first antisymmetric mode, triggers tilting specimen. Last, circular punching failures footing on foundation simulated.

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